Spurred by its rapid growth the City of Koronadal is

Last updated: 3/8/2024

Spurred by its rapid growth the City of Koronadal is reviewing housing proposals for a new development area designed for a location of marginalized families currently occupying land in what the city has identified as its new commercial center As a result of this relocation the income of the family is reduced and it is estimated that the average daily income is at most P245 000 There is some dispute among members of the City Council as to what goals should be sought The city zoning committee has recommended 2 types of housing single detached family houses and row houses The zoning committee has compiled the following data for each type of housing Single detached S Square meters per unit Families housed per unit Average daily family income Voting base generated per unit Development Cost Unit in thousands of pesos PhP160 PhP125 There are 30 000 square meters available for zoning The City Council has established the following goals which are equally desirable Furthermore the council decided to give a penalty of 5 if Goal 2 is not achieved Due to the importance of real estate in the area penalties of Goal 4 are 8 and 3 for over and under achievement respectively Below are the goals 1 Provide housing for at least 500 families 2 Establish at least 2 500 new voting base 40 2 500 5 3 Limit development cost to PhP80 million 4 Reserve exactly 5 000 square meters for a neighborhood park area Note 1 Use the variables indicated in the table as decision variables 2 For deviational variables use dl dl etc Row houses R 25 1 350 4 3 For coordinates use the format axis axis Always add 1 space after the comma 4 Do not include the commas and units in the answered figures 5 In writing the equation put 1 space only after each term before and after the inequality No multiplication symbol or x in the equation For example the format is 4X 3Y dl dl 20 6 Use fraction for the coordinates Example 0 50 1 2 10 1 8 2 2 3 Solve the problem first before answering the questions to earn credits If you just show your solution based on the questions only you will not get a credit a What will be the deviational variables of goal 2 Blank 1 and goal 4 Blank 2 in the objective function Include all coefficients of the variable if needed b Formulate the goal constraint of goal 3 Blank 3 c Formulate the goal constraint of goal 4 Blank 4 d What are the coordinates of goal 1 Blank 5 Blank 6 e How many solution sets are there in Goal 17 Blank 7 f Identify the multiple solutions for goal 2 For excess coordinates put N A in your answer Blank Blank 9 Blank 10 Blank 11 How many solution sets are there in Goal 3 Blank 12 h Identify the multiple solutions for goal 3 For excess coordinates put N A in your answer Blank 13 Blank 14 Blank 15 Blank 16 What is the satisficing solution S Blank 17 R Blank 18 Z Blank 19 1 Is Goal 4 achieved Answer Yes or No Blank 20 Is is under achieved UA or over achieved OA Write the acronym only Blank 21 By how much Blank 22